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math.NA2022
A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow
Wei Jiang, Chunmei Su, Ganghui Zhang
We propose and analyze a semi-discrete parametric finite element scheme for solving the area-preserving curve shortening flow. The scheme is based on Dziuk's approach (SIAM J. Nume…
math.NA2022★ 7 cited
Numerical study of the logarithmic Schrodinger equation with repulsive harmonic potential
Remi Carles, Chunmei Su
We consider the Schrodinger equation with a logarithmic nonlinearity and a repulsive harmonic potential. Depending on the parameters of the equation, the solution may or may not be…